Numerical Implementation of Reaction-diffusion-chemotaxis Model of Cancer Invasion Using Nonstandard Finite Difference Method

نویسندگان

  • Mikhail Kolev
  • Boiana Garkova
  • M. Kolev
  • B. Garkova
چکیده

In this paper we present a nonstandard numerical scheme for solving a reaction-diffusion-chemotaxis mathematical model of migration and invasion of cancer cells. The model is approximated by a system of nonlinear algebraic equations, whose solution is non-negative. The role of the production rate of cancer cells on their invasive ability is analyzed by numerical experiments.

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تاریخ انتشار 2014